Citation
Maarof, Fauziah and Mohamed, Shamsiah and Ahmad, Aimi Athirah
Symmetricity between the sampling distribution of coefficient of variations, CVc and CVr for Gumbel samples.
In: Fundamental Science Congress 2012, 17-18 July 2012, Faculty of Veterinary, Universiti Putra Malaysia. .
Abstract
A robust form of the coefficient of variation (cv). CVr • constructed based on the sample median absolute deviation. MAD and the
sample median is considered. Histograms. boxplolS and descriptive statistics of the sampling distributions of CVr are generated
for sample from Gumbel distribution with parameter value (u = I, a = 0.05) and sample sizes (n =20. 50. 100, 300. 500). The histograms, boxplolS, measure of skewness and kunosis observed indicated thallhe sampling distribution of CVr becomes more
symmetric and nonnal as the sample size increases. outperforming the sampling distribution of the conventional coefficient of
variation, eVe with respect to the degree and rate towards symmetricity. It is also observed that the sampling distribution of the
CVr tends towards normality faster and it has smaller kultosis compared to that of the sampling distribution of CVc.
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